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Finding the Fourth Proportional to 142,687.84, 214,053.36 and 49,171.36

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Solution

The fourth proportional to 142,687.84, 214,053.36 and 49,171.36 is: 73,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,687.84 : 214,053.36 = 49,171.36 : x
  2. Step 2: Convert to fraction form
    142,687.84/214,053.36 = 49,171.36/x
  3. Step 3: Cross multiply
    142,687.84x = 214,053.36 × 49,171.36
  4. Step 4: Simplify right side
    142,687.84x = 10,525,294,823.77
  5. Step 5: Solve for x
    x = 10,525,294,823.77/142,687.84
  6. Step 6: Final answer
    x = 73,764.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.